Hermitian matrix model with plaquette interaction

被引:24
作者
Chekhov, L [1 ]
Kristjansen, C [1 ]
机构
[1] NORDITA,DK-2100 COPENHAGEN O,DENMARK
关键词
matrix models; random surfaces; O(n) model; three-colour problem;
D O I
10.1016/0550-3213(96)00382-3
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We study a hermitian (n + 1)-matrix model with plaquette interaction, Sigma(i=1)(n) MA(i)MA(i). By means of a conformal transformation we rewrite the model as an O(rt) model on a random lattice with a non-polynomial potential. This allows us to solve the model exactly, We investigate the critical properties of the plaquette model and find that for n is an element of ] - 2, 2] the model belongs to the same universality class as the O(n) model on a random lattice.
引用
收藏
页码:683 / 696
页数:14
相关论文
共 26 条
[11]   A CRITICAL MATRIX MODEL AT C = 1 [J].
DISTLER, J ;
VAFA, C .
MODERN PHYSICS LETTERS A, 1991, 6 (03) :259-270
[12]   THE NUMBER OF RANDOM SURFACES ON THE LATTICE AND THE LARGE-N GAUGE-THEORY [J].
EGUCHI, T ;
KAWAI, H .
PHYSICS LETTERS B, 1982, 110 (02) :143-147
[13]   PLANAR RANDOM SURFACES ON THE LATTICE [J].
EGUCHI, T ;
KAWAI, H .
PHYSICS LETTERS B, 1982, 114 (04) :247-250
[14]   More on the exact solution of the O(n) model on a random lattice and an investigation of the case vertical bar n vertical bar>2 [J].
Eynard, B ;
Kristjansen, C .
NUCLEAR PHYSICS B, 1996, 466 (03) :463-487
[15]   EXACT SOLUTION OF THE O(N) MODEL ON A RANDOM LATTICE [J].
EYNARD, B ;
KRISTJANSEN, C .
NUCLEAR PHYSICS B, 1995, 455 (03) :577-618
[16]  
EYNARD B, 1992, NUCL PHYS B, V386, P55
[17]   O(N) MODEL ON A FLUCTUATING PLANAR LATTICE - SOME EXACT RESULTS [J].
GAUDIN, M ;
KOSTOV, I .
PHYSICS LETTERS B, 1989, 220 (1-2) :200-206
[18]  
JOHNSTON DA, 1993, PHYS LETT B, V314
[19]   INDUCED GAUGE-THEORY AT LARGE-N [J].
KAZAKOV, VA ;
MIGDAL, AA .
NUCLEAR PHYSICS B, 1993, 397 (1-2) :214-238
[20]  
Kostov I.K., HEPTH9602117